Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14519783 | C2 | semidirect |
| 2. #16840329 | C2 | semidirect |
| 3. #16840012 | C2 | semidirect |
| 4. #16839995 | C2 | semidirect |
| 5. #16839800 | C2 | semidirect |
| 6. #16839767 | C2 | semidirect |
| 7. C22×D8×C61 | C2 | semidirect |
| 11. C2×#11758189 | C22 | semidirect |
| 12. C2×C8×D61 | C22 | semidirect |
| 15. #14519748 | C22 | semidirect |
| 18. #14519711 | C22 | semidirect |
| 19. #14519709 | C22 | semidirect |
| 20. #14519698 | C22 | semidirect |
| 41. C2×C8×C61 | D4 | semidirect |
| 94. C22×D8 | D61 | semidirect |
| 101. C61 | #3058 | semidirect |
| 139. C2×C8 | C22⋊D61 | semidirect |